1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andru [333]
3 years ago
11

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

nutes. What is the probability that a randomly selected exam will require more than 15 minutes to grade
Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

You might be interested in
I dont get it? may someone help?
alex41 [277]

Answer:

hi i need help on sumthing

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
When 9 2/3 is written in simplest radical form, which value remains under the radical?
Vera_Pavlovna [14]

Answer:

The value under the radical is 3

Step-by-step explanation:

9^(2/3) This means 9 squared then find find the cube root of the answer.

9^(2/3)=∛(9^2 )

= ∛81

= ∛(3×3×3×3) = ∛(3)³ ₓ ∛3

= 3∛3

The value under the radical is 3

I hope this now shows clearly the number under the radical is 3.

BRAINLIEST?

3 0
2 years ago
Find the area of the figure.
Anettt [7]

Answer: 28.5 square units.

Step-by-step explanation: Separate the figure into a rectangle and a triangle. Count the length and width of the rectangle. The length of the rectangle is 8 units and the width is 3 units. To find the area use the formula l*w. 8*3=24.

Next find the area of the triangle section. The triangle is 3 units tall and 3 units wide. To find the area use the formula 1/2(l*w). 3*3=9. 9/2=4.5.

Finally add the areas of the rectangular section and the triangular section. 24+4.5=28.5.

4 0
3 years ago
How?!? I don't know what to do
Goshia [24]
This is easy, if adding the first number to the second number you get 70.2 then if you want to find the middle number you will have to subtract 32.34 from 70.2 to get 37.86, now add that and 32.34 to check if it gives you 70.2.... When you add them you indeed get 70.2 so your work is correct meaning your middle number is 37.86

Hope this helped
3 0
3 years ago
The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of s
zhannawk [14.2K]
1 liters y and 1 liters b since the question states that you need to add
4 0
2 years ago
Other questions:
  • 4⁄6 + 2⁄4 + 3⁄5 please answer my question
    7·2 answers
  • You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current po
    15·1 answer
  • If a to the power x by y is equal to 1 then the value of x is​
    5·1 answer
  • John says that because rhombuses do not have perpendicular sides, they cannot be rectangles. Explain his error in thinking
    7·2 answers
  • How will the solution of the system y > 2x + 2/3 and y < 2x + 1/3 change if the inequality sign on both inequalities is re
    8·1 answer
  • A $280 suit is marked down by 20%. Find the sale price.
    6·1 answer
  • A bridge is 28 meters long. Find the length of a scale model if the scale is 1 : 550
    13·1 answer
  • Please give me the correct answer.​
    9·2 answers
  • Are these triangles similar?<br> A) Yes<br> B) No
    13·2 answers
  • Each tile is 3/2 feet by 3/2 feet. There are 10 tiles on the bathroom floor.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!